A substance decays at a rate of 47.68% per hour. (a) Complete the boxes below to write a formula for the amount Q at hour t, where Qo is the initial amount. Do not round any values. Q = Qo•( Number (b) Find the half-life of the substance. Solve analytically and report your exact answer involving natural or common logarithms. t= Number years (Your answer contains a logarithm.) half-life. (c) Report an approximate answer of the half-life accurate to hours The half-life is approximately Number hours Interpretation: The substance decays by Number % by about every Number hours.

Q: Express the equation in exponential form. (a) log3(27) = 3 %3D (b) log3(1) = 0

A: we have to express the given logarithmic equation in exponential form. (a) log327=3(b) log31=0

Q: the solution of the equation log, (x² – 4) = log23z %3D -

A: Given ,  log2(x2 - 4) = log2(3x) We have to find the solution of x  Since ,  logm a = logm b  Then ,…

Q: The intensity I of an earthquake, measured on the Richter scale, is given by log where I, is the…

A: Richter scale reading value is given in terms of intensity, we want to express intensity interns of…

Q: Solve for the exact value of x. log, (4x) + log, (2) = 4

A:

Q: Express the equation in logarithmic form.

A: a). Given, 4-32=0.125 The logarithmic form is, log40.125=-32     ∵ax=y⇒logay=x

Q: Express the equation in logarithmic form. (a) 4-1/2 = 0.5 (b) 64 = 1296 %3D

A:

Q: Express the exponential function as a power of e. Find the domain and range (а) у -3' -1 (b) у -4'-1

A: We know that, ax=exlna         ⋯⋯1 (a) We have, y=3t-1 By using equation (1) and on solving further,…

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

A:

Q: Solve the equation to find the value of x.  log2(5x-4)=4 A. 6/5 B. 4 C. 8 D. 256/5

A: